Question

a bottle of juice completely fills a cylinder 10 inches tall and 4 inches in diameter. if one bottle of juice is poured into a cylindrical pitcher with a diameter of 6 inches, to what depth in inches will it fill the pitcher?

Answer 1

3/2 the diameter means 9/4 the volume.

So, the small cylinder fills 4/9 of the big cylinder.

4/9 * 10 = 40/9 inches of juice.